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Finding the Fourth Proportional to 721.18, 1,076.11 and 677.10

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Solution

The fourth proportional to 721.18, 1,076.11 and 677.10 is: 1,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.18 : 1,076.11 = 677.10 : x
  2. Step 2: Convert to fraction form
    721.18/1,076.11 = 677.10/x
  3. Step 3: Cross multiply
    721.18x = 1,076.11 × 677.10
  4. Step 4: Simplify right side
    721.18x = 728,627.15
  5. Step 5: Solve for x
    x = 728,627.15/721.18
  6. Step 6: Final answer
    x = 1,010.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.